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Finding the Fourth Proportional to 549,527.45, 824,347.11 and 189,651.47

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Solution

The fourth proportional to 549,527.45, 824,347.11 and 189,651.47 is: 284,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,527.45 : 824,347.11 = 189,651.47 : x
  2. Step 2: Convert to fraction form
    549,527.45/824,347.11 = 189,651.47/x
  3. Step 3: Cross multiply
    549,527.45x = 824,347.11 × 189,651.47
  4. Step 4: Simplify right side
    549,527.45x = 156,338,641,685.85
  5. Step 5: Solve for x
    x = 156,338,641,685.85/549,527.45
  6. Step 6: Final answer
    x = 284,496.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.